Discriminants of Brauer algebras

Details Discriminants of Brauer algebras Discriminants of Brauer algebras

2006-07-11

arxiv.org/abs/math/0607267v3

Mathematics

Quantum Algebra

Math. Zeitschrift, to appear

Scientific paper

In this paper, we compute the discriminant of the Gram matrix associated to
each cell module of the Brauer algebra $\cba{n}$. Theoretically, we know when a
cell module of $\cba{n}$ is equal to its simple head. This gives a solution of
this long standing problem.

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